Collective behavior and spacing of adiabatic shear bands

Journal of the Mechanics and Physics of Solids

Volumn 45, Issue 9, 1997, Pages 1551-1575

  Molinari, A ^a  

^a CNRS   (France)

Author keywords

A. thermomechanical processes; B. viscoplastic material; C. stability and bifurcation

Indexed keywords

ASYMPTOTIC STABILITY; BIFURCATION (MATHEMATICS); STRAIN HARDENING; THERMOMECHANICAL TREATMENT; VISCOPLASTICITY;

ADIABATIC SHEAR BANDS; DOMINANT INSTABILITY MODE;

SHEAR DEFORMATION;

EID: 0031237258     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0022-5096(97)00012-4     Document Type: Article

References (17)

1. Bai, Y. (1982) Thermo-plastic instability in simple shear. J. Mech. Phys. Solids 30, 195.
2. Clifton, R. J. (1978) Report to the NRC committee on material responses to ultrasonic loading rates.
3. Clifton, R. J., Duffy, J., Hartley, K. A. and Shawki, T. G. (1984) On critical conditions for shear band formation in high-strain rates. Scripta Mater. 18, 443.
4. Dudzinski, D., El Majdoubi, M. and Molinari, A. (1992) Plastic flow localization at high strain-rates. In Shock-Waves at High Strain-Rates, ed. M. A. Meyers, L. E. Murr and K. P. Staudhammer. Marcel Dekker, New York.
5. Fressengeas, C. and Molinari, A. (1994) Fragmentation of rapidly stretching sheets. Eur. J. Mech. A/Solids 13, 251-268.
6. Grady, D. E. and Kipp, M. E. (1987) The growth of unstable thermoplastic shear with application to steady-wave shock compression in solids. J. Mech. Phys. Solids 35, 95.
7. Leroy, Y. M. and Molinari, A. (1993) Spatial patterns and size effects in shear zones: a hyperelastic model with higher order gradients. J. Mech. Phys. Sol. 41, 631-663.
8. Marchand, A. and Duffy, J. (1988) An experimental study of the formation process of adiabatic shear bands in a structural steel. J. Mech. Phys. Solids 36, 251.
9. Meyers, M. A., Subhash, G., Kad, B. K. and Prasad, L. (1994) Evolution of microstructure and shear-band formation in α-hcp titanium. Mech. Mater. 17, 175-193.
10. Molinari, A. (1985) Instabilité thermo-visco-plastique en cisaillement simple. J. Méc Théor. Appl. 4, 659-684.
11. Molinari, A. (1988) Shear band analysis. Solid St. Phenomena 3-4, 447-468.
12. Molinari, A. and Leroy, Y. M. (1991) C.R. Acad. Sci. Paris, Ser. 2 313, 7-13.
13. Nesterenko, V. F., Meyers, M. A., Chen, H. C. and LaSavia, J. C. (1994) Controlled high-rate localized shear in porous reactive media. Appl. Phys. Lett. 65(24), 3069-3071.
14. Nesterenko, V. F., Meyers, M. A. and Wright, T. W. (1995a) Collective behavior of shear bands. In Metallurgical and Materials Applications of Shock-Wave and High-Strain-Rate Phenomena, ed. L. E. Murr, K. P. Staudhammer and M. A. Meyers, pp. 397-404. Elsevier Science B.V.
15. Nesterenko, V. F., Meyers, M. A., Chen, H. C. and LaSavia, J. C. (1995b) The structure of controlled shear bands in dynamically deformed reactive mixtures. Metall. Mater. Trans. A 26A, 2511-2519.
16. Shawki, T. G. and Clifton R. J. (1989) Shear band formation in thermal viscoplastic materials. Mech. Mater. 8, 13.
17. Wright, T. W. and Ockendon, H. (1996) A scaling law for the effect of inertia on the formation of adiabatic shear bands. Int. J. Plasticity 12, 927-934.